{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#本章需导入的模块\n",
    "import numpy as np\n",
    "from numpy import random\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import warnings\n",
    "warnings.filterwarnings(action = 'ignore')\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.sans-serif']=['SimHei']  #解决中文显示乱码问题\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "from sklearn.datasets import make_classification,make_circles,make_regression\n",
    "from sklearn.model_selection import train_test_split,KFold\n",
    "import sklearn.neural_network as net\n",
    "import sklearn.linear_model as LM\n",
    "from scipy.stats import multivariate_normal\n",
    "from sklearn.metrics import r2_score,mean_squared_error,classification_report\n",
    "from sklearn import svm\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=100\n",
    "X,Y=make_classification(n_samples=N,n_features=2,n_redundant=0,n_informative=2,class_sep=1.2,random_state=1,n_clusters_per_class=1)\n",
    "rng=np.random.RandomState(2)\n",
    "X+=2*rng.uniform(size=X.shape)\n",
    "X_train, X_test, Y_train, Y_test = train_test_split(X,Y,train_size=0.85, random_state=1)\n",
    "\n",
    "plt.figure(figsize=(9,6))\n",
    "markers=['^','o']\n",
    "for k,m in zip([1,0],markers):\n",
    "    plt.scatter(X_train[Y_train==k,0],X_train[Y_train==k,1],marker=m,s=50)\n",
    "plt.title(\"训练集中样本观测点的分布\")\n",
    "plt.xlabel(\"X1\")\n",
    "plt.ylabel(\"X2\")\n",
    "plt.grid(True,linestyle='-.')\n",
    "plt.show()   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=100\n",
    "X,Y=make_classification(n_samples=N,n_features=2,n_redundant=0,n_informative=2,class_sep=1.2,random_state=1,n_clusters_per_class=1)\n",
    "rng=np.random.RandomState(2)\n",
    "X+=2*rng.uniform(size=X.shape)\n",
    "X_train, X_test, Y_train, Y_test = train_test_split(X,Y,train_size=0.85, random_state=1)\n",
    "X1,X2= np.meshgrid(np.linspace(X_train[:,0].min(),X_train[:,0].max(),500),np.linspace(X_train[:,1].min(),X_train[:,1].max(),500))\n",
    "X0=np.hstack((X1.reshape(len(X1)*len(X2),1),X2.reshape(len(X1)*len(X2),1)))\n",
    "fig,axes=plt.subplots(nrows=1,ncols=2,figsize=(15,6))\n",
    "for C,H in [(5,0),(0.1,1)]:\n",
    "    modelSVC=svm.SVC(kernel='linear',random_state=123,C=C) \n",
    "    modelSVC.fit(X_train,Y_train)\n",
    "    Y0=modelSVC.predict(X0)\n",
    "    axes[H].scatter(X0[np.where(Y0==1),0],X0[np.where(Y0==1),1],c='lightgray')\n",
    "    axes[H].scatter(X0[np.where(Y0==0),0],X0[np.where(Y0==0),1],c='mistyrose')\n",
    "    for k,m in [(1,'^'),(0,'o')]:\n",
    "        axes[H].scatter(X_train[Y_train==k,0],X_train[Y_train==k,1],marker=m,s=40)\n",
    "        axes[H].scatter(X_test[Y_test==k,0],X_test[Y_test==k,1],marker=m,s=40,c='',edgecolors='g')\n",
    "        \n",
    "    axes[H].scatter(modelSVC.support_vectors_[:,0],modelSVC.support_vectors_[:,1],marker='o',c='b',s=120,alpha=0.3)\n",
    "    axes[H].set_xlabel(\"X1\")\n",
    "    axes[H].set_ylabel(\"X2\")\n",
    "    axes[H].set_title(\"广义线性可分下的支持向量机最大边界超平面\\n(C=%.1f,训练误差=%.2f)\"%(C,1-modelSVC.score(X_train,Y_train)))\n",
    "    axes[H].grid(True,linestyle='-.')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "代码说明：\n",
    "（1）第1至5行：生成用于二分类的模拟数据，包含两个输入变量。为增加两类数据的重合程度，在原有输入变量的基础上添加随机值。利用旁置法，将数据集按85%和15%划分成训练集和测试集。\n",
    "（2）第6，7行：为绘制分类边界准备数据：数据为在两个输入变量取值范围内的250000个样本观测点。\n",
    "（3）第9至23行：利用for循环建立惩罚参数C取5和0.1时的支持向量分类机。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
